# Worksheet on Reflection in the Origin

Practice the questions given in the worksheet on reflection in the origin. The reflection of the point P(x, y) in the origin is the point P’(-x, -y).

For example:

(i) the reflection of the point (-10, 5) in the origin is the point (10, -5).

(ii) the reflection of the point (-2, -7) in the origin is the point (2, 7).

(iii) the reflection of the point (3, -4) in the origin is the point (-3, 4).

(iv) the reflection of the point (-6, 0) in the origin is the point (6, 0).

1. State the co-ordinates of the following points under reflection in origin:

(i) (-2, -4)

(ii) (-2, 7)

(iii) (0, 0)

2. Find the points onto which the following points are mapped on reflection in the origin.

(i) (-5, 4)

(ii) (7, 0)

(iii) (0, -9)

(iv) (p$$^{2}$$, q$$^{2}$$)

(v) (m + n, m - n)

3. The point P (a, b) is mapped onto P’ (-17, 10) on reflection in the origin. Find the values of a and b.

4. Write down the coordinates of the image of the point (3, -11) when reflected in the origin.

5. The point P (1, 8) is reflected in the origin to get the image P’. Write down the coordinates of P’.

Answers for the worksheet on reflection in the origin are given below.

1. (i) (2, 4)

(ii) (2, -7)

(iii) (0, 0)

2. (i) (5, -4)

(ii) (-7, 0)

(iii) (0, 9)

(iv) (-p$$^{2}$$, -q$$^{2}$$)

(v) (-m - n, -m + n}

3. a = 17, b = -10

4. (-3, 11)

5. (-1, -8)

Reflection